Consider the differential equation: y" + y = sec x,0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the differential equation:
y"+y = sec x,0 <x <T/2
What is the particular solution v.?
Yp = e2x
»= -edx + e* dx
Yp = e* In(1 + e*) + e²* [In(1 + e¯*) – e-*]
Yp = x sin x + cosx ln(cosx)
Transcribed Image Text:Consider the differential equation: y"+y = sec x,0 <x <T/2 What is the particular solution v.? Yp = e2x »= -edx + e* dx Yp = e* In(1 + e*) + e²* [In(1 + e¯*) – e-*] Yp = x sin x + cosx ln(cosx)
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